# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 86 - 91 of 253

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## Question 86

### Question

MCQ▾

A statistic is called as Minimum Variance Unbiased Estimator (MVUE) if

### Choices

Choice (4)Response

a.

If it has the maximum variance among the class of all unbiased estimators

b.

It is Unbiased

c.

If it has the minimum variance among the class of all unbiased estimators

d.

Both b. and c. are correct

## Question 87

### Question

MCQ▾

Minimum Variance Unbiased Estimator (MVUE) is________

### Choices

Choice (4)Response

a.

Not unique

b.

Unique

c.

All of the above

d.

None of the above

## Question 88

### Question

MCQ▾

In a random sampling from Normal population suppose the MLE of mean is is given then MLE of is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 89

### Question

MCQ▾

A statistic is MVUE of if … where is any other unbiased estimator of

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 90

### Question

MCQ▾

Under certain regularity conditions, a maximum likelihood estimator is ________ distributed.

### Choices

Choice (4)Response

a.

Uniformly

b.

Asymptotically Normally

c.

Asymptotically Poisson

d.

None of the above

## Question 91

### Question

MCQ▾

Which of the following are the methods of Estimation?

### Choices

Choice (4)Response

a.

Method of Minimum Variance

b.

Method of Maximum Likelihood Estimation

c.

Method of Minimum Chi-square

d.

All a., b. and c. are correct